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Finding the Fourth Proportional to 842.26, 1,263.07 and 648.47

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Solution

The fourth proportional to 842.26, 1,263.07 and 648.47 is: 972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.26 : 1,263.07 = 648.47 : x
  2. Step 2: Convert to fraction form
    842.26/1,263.07 = 648.47/x
  3. Step 3: Cross multiply
    842.26x = 1,263.07 × 648.47
  4. Step 4: Simplify right side
    842.26x = 819,053.45
  5. Step 5: Solve for x
    x = 819,053.45/842.26
  6. Step 6: Final answer
    x = 972.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.